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It is shown that the resulting algorithm conserves probability to within a round-off error regardless of the grid geometry.
When I asked what had happened, a few clever students pointed out that the calculator had made a "round-off error," since it wasn't computing the exact values of the sequence, but rather rounding them to the nearest 8 or so decimal places.
This equation gives rise to three kinds of error, a discretization error caused by the step size h, a truncation error and a round-off error because of the numerical operations performed by calculating the series.
Table 1 Machine learning methods used in the experiments with the optional abbreviations used in further work Classifier Classification scheme Parameters Naïve Bayes (NB) bayes - Sequential Minimal Optimization (SMO) functions The complexity parameter was set at 1, the epsilon for a round-off error was 1.0 E-12, and an option of normalizing training data was chosen.
Table 4 Machine learning algorithms used and a short description of their training parameters Classifier Classification scheme Settings Sequential Minimal Optimization (SMO) functions The complexity parameter was set at 1, the epsilon for a round-off error was 1.0 E-12, and the option of normalizing training data was chosen.
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At last, the test we had come up with was that given a fixed round-off error, no matter how small, it was the case that eventually all the sequence terms were within that error of the limit.
If b is much greater than a, then a straightforward calculation of (a + b) − b can accumulate an unacceptable round-off error, perhaps even returning zero.
The CADNA library enables one to estimate, using a probabilistic approach, round-off error propagation in any simulation program.
A summary of round-off error is also given, and the impact of this error on previously predicted exposure quantities is shown.
The test sinusoid samples are rounded to a finite precision: Digitally sampled sinusoids do suffer from a certain amount of round-off error, but Matlab and Octave use double-precision floating-point numbers by default (64 bits).
When this is achieved, we have obtained a solution in which the round-off error is below a specified number of decimal places for this particular value of ϵ.
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